147140400 has 240 divisors, whose sum is σ = 524752128. Its totient is φ = 34944000.

The previous prime is 147140369. The next prime is 147140437. The reversal of 147140400 is 4041741.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937122 + ... + 937278.

Almost surely, 2^147140400 is an apocalyptic number.

147140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262376064).

147140400 is an abundant number, since it is smaller than the sum of its proper divisors (377611728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147140400 is a wasteful number, since it uses less digits than its factorization.

147140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 147140400 is about 12130.1442695460. The cubic root of 147140400 is about 527.9311778985.

The spelling of 147140400 in words is "one hundred forty-seven million, one hundred forty thousand, four hundred".